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4114145430 = 2325194435431
BaseRepresentation
bin1111010100111000…
…1110000010010110
3101121201111020112200
43311032032002112
531411210123210
61520124225330
7203644442043
oct36516160226
911551436480
104114145430
11182136739a
1296999b246
135074788a5
142b05881ca
151912c10c0
hexf538e096

4114145430 has 96 divisors (see below), whose sum is σ = 11287261440. Its totient is φ = 1036825920.

The previous prime is 4114145429. The next prime is 4114145479. The reversal of 4114145430 is 345414114.

4114145430 is a `hidden beast` number, since 4 + 114 + 1 + 4 + 543 + 0 = 666.

4114145430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4114145394 and 4114145403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754815 + ... + 760245.

It is an arithmetic number, because the mean of its divisors is an integer number (117575640).

Almost surely, 24114145430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643630720).

4114145430 is an abundant number, since it is smaller than the sum of its proper divisors (7173116010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4114145430 is a wasteful number, since it uses less digits than its factorization.

4114145430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4114145430 is about 64141.6045168812. The cubic root of 4114145430 is about 1602.3592058306.

Adding to 4114145430 its reverse (345414114), we get a palindrome (4459559544).

The spelling of 4114145430 in words is "four billion, one hundred fourteen million, one hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 443 570 855 886 1329 1710 2215 2658 3987 4430 5431 6645 7974 8417 10862 13290 16293 16834 19935 25251 27155 32586 39870 42085 48879 50502 54310 75753 81465 84170 97758 103189 126255 151506 162930 206378 244395 252510 309567 378765 488790 515945 619134 757530 928701 1031890 1547835 1857402 2405933 3095670 4643505 4811866 7217799 9287010 12029665 14435598 21653397 24059330 36088995 43306794 45712727 72177990 91425454 108266985 137138181 216533970 228563635 274276362 411414543 457127270 685690905 822829086 1371381810 2057072715 4114145430